HUNTERTUTORING

Nonlinear dynamics

Dynamical systems · Standard syllabus

Linearization and Hartman–Grobman theorem (statement)

Objectives

  • Linearization and Hartman–Grobman theorem (statement)
  • Stable and unstable manifolds (introduction)
  • Limit cycles and Poincaré–Bendixson theorem (2D)
  • Hamiltonian and gradient systems (introduction)
  • Index theory for closed orbits (optional)

Study materials